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Otrada [13]
3 years ago
12

A direct variation function contains the points (2, 14) and (4, 28). Which equation represents the function?

Mathematics
1 answer:
vitfil [10]3 years ago
4 0
A direct variation has a constant slope, i.e. (y/x)= constant.

Both of the given two points give a slope of (y/x)=14/2=28/4=7, so the equation of the function is
y/x=7, or simply
y=7x
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What is the solution for x of ax-5=b?
BigorU [14]

Answer:

x = (b + 5/a)

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and equals:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 5 to both sides of the equation:

ax - 5 (+5) = b (+5)

ax = b + 5

Next, divide a from both sides to isolate the variable, x:

(ax)/a = (b + 5)/a

x = (b + 5)/a

x = (b + 5/a) is your answer.

~

8 0
3 years ago
Which represents two rays that intersect at a common endpoint
aleksandr82 [10.1K]

An angle is the intersection of two noncollinear rays at a common endpoint. The rays are called sides and the common endpoint is called the vertex.

8 0
3 years ago
What is the answer to this?
Dennis_Churaev [7]

Answer:

<h2>x = 14, z = 65</h2>

Step-by-step explanation:

The angles (5x - 5)° and (6x + 31)° are supplementary angles.

Supplementary Angles add up to 180°.

Therefore we have the equation:

5x - 5 + 6x + 31 = 180             <em>combine like terms</em>

(5x + 6x) + (-5 + 31) = 180

11x + 26 = 180               <em>subtract 26 from both sides</em>

11x = 154             <em>divide both sides by 11</em>

x = 14

The angles (5x - 5)° and z° are vertical angles.

Vertical angles are congruent.

Therefore we have the equation:

z = 5x - 5               <em>put x = 14 to the equation</em>

z = 5(14) - 5

z = 70 - 5

z = 65

4 0
3 years ago
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Komok [63]

Answer:

240%

Step-by-step explanation:

100 x (425 - 125) / 125

3 0
2 years ago
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